# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2024/2025

### Timetable information in the Course Catalogue may be subject to change.

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DRPS : Course Catalogue : School of Mathematics : Mathematics

# Undergraduate Course: Engineering Mathematics 1b (MATH08075)

 School School of Mathematics College College of Science and Engineering Credit level (Normal year taken) SCQF Level 8 (Year 1 Undergraduate) Availability Not available to visiting students SCQF Credits 20 ECTS Credits 10 Summary The course is a first university level course in calculus for Engineering students and follows on naturally from MATH08074 Engineering Mathematics 1a. This course is restricted to students for whom it is a compulsory part of their degree programme. Course description This course will cover topics in a first course on calculus for Engineering students and includes the following syllabus: Sequences and series, limits, power series, radius of convergence. Basic differentiation: rate of change, simple derivatives, rules of differentiation, maxima/minima. Derivatives of powers, polynomials, rational functions, circular functions. Chain rule. Differentiation of exponential and related functions, differentiation of inverse functions. Parametric and implicit differentiation, higher derivatives. Partial differentiation, directional derivatives, chain rule, total derivative, exact differentials. L'Hopital's rule. Taylor's Theorem and related results. Maclaurin series. Basic integration: anti-derivatives, definite and indefinite integrals, methods of substitution and integration by parts. Fundamental Theorem of Calculus. Area, arc-length, volume, mean values, rms values and other applications of integration. Improper integrals. Differential equations. General and particular solutions, boundary values. Separable differential equations. First order linear differential equations with constant coefficients. Basic mathematical skills will be developed using weekly on-line quizzes e-assessments. Mathematical writing skills will be developed in written assessments. Accreditation of Higher Education Programmes Learning Outcomes Engineering: SM2m.
 Pre-requisites Co-requisites Prohibited Combinations Students MUST NOT also be taking Mathematics for the Natural Sciences 1b (MATH08073) OR Calculus and its Applications (MATH08058) Other requirements None
 Academic year 2024/25, Not available to visiting students (SS1) Quota:  460 Course Start Semester 2 Timetable Timetable Learning and Teaching activities (Further Info) Total Hours: 200 ( Lecture Hours 22, Seminar/Tutorial Hours 11, Supervised Practical/Workshop/Studio Hours 7, Summative Assessment Hours 3, Programme Level Learning and Teaching Hours 4, Directed Learning and Independent Learning Hours 153 ) Assessment (Further Info) Written Exam 80 %, Coursework 20 %, Practical Exam 0 % Additional Information (Assessment) Coursework 20%, Examination: 80%. Students repeating the course will be assessed as 100% exam only. Students must pass exam and course overall. Feedback Auto-graded questions (including practice) give feedback on submission. Written work will have written comments on return and solutions addressing common errors. Further feedback in workshop and peer discussions. Exam Information Exam Diet Paper Name Hours & Minutes Main Exam Diet S2 (April/May) MATH08075 Engineering Mathematics 1b 3:180 Resit Exam Diet (August) MATH08075 Engineering Mathematics 1b 3:180
 On completion of this course, the student will be able to: Solve a variety of problems involving limits of sequences, series and functions.Compute derivatives, partial derivatives, higher derivatives and integrals of a variety of functions.Use calculus to compute extrema and arc length of functions, areas and volumes of surfaces of revolution, mean values and Taylor approximations of functions.Solve separable first and second order ordinary differential equations with boundary or initial conditions and simple inhomogeneous termsPresent clear written solutions to problems involving one of more areas of the syllabus.
 Students will require a copy of the course textbook. This is currently "Engineering Mathematics" by Glyn James ISBN:9781800063556. This special edition is available only from Blackwell's bookshop at South Bridge, Edinburgh, or electronically.
 Graduate Attributes and Skills Students will gain key skills in calculus appropriate to degrees in Engineering. Special Arrangements Only available to students for whom it is a compulsory part of their curriculum. Keywords EM1b,Sequences,series,power series,differentiation,integration,differential equations
 Course organiser Dr David Quinn Tel: Email: D.Quinn@ed.ac.uk Course secretary Mrs Frances Reid Tel: (0131 6)50 4883 Email: f.c.reid@ed.ac.uk
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